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Finding the Fourth Proportional to 895.27, 1,342.65 and 408.21

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Solution

The fourth proportional to 895.27, 1,342.65 and 408.21 is: 612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.27 : 1,342.65 = 408.21 : x
  2. Step 2: Convert to fraction form
    895.27/1,342.65 = 408.21/x
  3. Step 3: Cross multiply
    895.27x = 1,342.65 × 408.21
  4. Step 4: Simplify right side
    895.27x = 548,083.16
  5. Step 5: Solve for x
    x = 548,083.16/895.27
  6. Step 6: Final answer
    x = 612.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.